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A memristor–meminductor-based chaotic system with abundant dynamical behaviors

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Abstract

In this paper, we introduce a memristor model and a meminductor model and design the corresponding emulator circuits for imitating their characteristics. By employing the two models, we propose a very simple chaotic circuit that contains only three elements in parallel: a memristor, a meminductor and a linear passive capacitor. The circuit is very simple, but has very abundant dynamical behaviors, including line equilibrium set, bursting, coexisting attractors, transient chaos, transient period and intermittency. Furthermore, we replace the memristor and meminductor with their corresponding emulators in the proposed circuit to make a hardware experiment, which illustrates the validity of the theoretical analysis.

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Acknowledgements

This work is supported in part by the National Natural Science Foundation of China (Grant Nos. 61771176, 61271064), the Natural Science Foundations of Fujian Province (Grant Nos. 2016J01761) and the Natural Science Foundations of Zhejiang Province (Grant No. LY18F010012).

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Authors and Affiliations

  1. Institute of Modern Circuits and Intelligent Information, Hangzhou Dianzi University, Hangzhou, 310018, China

    Birong Xu & Guangyi Wang

  2. College of Mechanic and Electronic Engineering, Wuyi University, Wuyishan, 354300, China

    Birong Xu

  3. School of Electrical, Electronic, and Computer Engineering, The University of Western Australia, 35 Stirling Highway, Crawley, WA, 6009, Australia

    Herbert Ho-Ching Iu

  4. College of Automation, Guangdong University of Technology, Guangzhou, 510006, China

    Simin Yu

  5. College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao, 266590, China

    Fang Yuan

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  1. Birong Xu
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Correspondence to Guangyi Wang.

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Xu, B., Wang, G., Iu, H.HC. et al. A memristor–meminductor-based chaotic system with abundant dynamical behaviors . Nonlinear Dyn 96, 765–788 (2019). https://doi.org/10.1007/s11071-019-04820-1

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